Answer: x=16
Step-by-step explanation:
This problem can be solved by using proportions. We can see the figure as 2 triangles. One is ΔAED and another is ΔACB.
[tex]\frac{x}{8} =\frac{x+6}{11}[/tex] [cross multiply]
[tex]11x=8(x+6)[/tex] [distribute]
[tex]11x=8x+48[/tex] [subtract both sides by 8x]
[tex]3x=48[/tex] [divide both sides by 3]
[tex]x=16[/tex]
We know that x=16.
